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CGP EDU Academic Team
Published on: August 14, 2026
A parabola is drawn with its focus (3, 4) and vertex at the focus of the parabola y 2 – 12 x – 4y + 4 = 0. The equation of the parabola is -
Text Solution
Verified by ExpertsThe correct answer is:
A
Since, y 2 – 12 x – 4y + 4 = 0 ⇒ (y – 2) 2 = 12 x
⇒ Vertex is (0, 2) focus is (3, 2)
∴ Vertex of the required parabola is (3, 2) and focus is (3, 4). The axis of symmetry is x = 3 and latus-rectum = 4.2 = 8. Hence, required equation is
(x – 3) 2 = 8 (y – 2) ∴ x 2 – 6x – 8y + 25 = 0
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